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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

**Paragraph for Question Nos. 16 to 17** Let g(x) = x^c e^ cx and...

**Paragraph for Question Nos. 16 to 17** Let g(x)=xcecxg(x) = x^c e^{cx} and f(x)=∫0xte2t(1+3t2)1/2dtf(x) = \int_0^x t e^{2t} (1 + 3t^2)^{1/2} dt. If L=lim⁡x→∞f′(x)g′(x)L = \lim_{x \to \infty} \frac{f'(x)}{g'(x)} is non-zero finite number then : The value of LL is :

Options

  1. A27\frac{2}{7}
  2. B12\frac{1}{2}
  3. C34\frac{\sqrt{3}}{4}
  4. D32\frac{\sqrt{3}}{2} ***

Correct answer

D. 32\frac{\sqrt{3}}{2} ***

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